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Finding the Fourth Proportional to 149.62, 224.74 and 115.45

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Solution

The fourth proportional to 149.62, 224.74 and 115.45 is: 173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.62 : 224.74 = 115.45 : x
  2. Step 2: Convert to fraction form
    149.62/224.74 = 115.45/x
  3. Step 3: Cross multiply
    149.62x = 224.74 × 115.45
  4. Step 4: Simplify right side
    149.62x = 25,946.23
  5. Step 5: Solve for x
    x = 25,946.23/149.62
  6. Step 6: Final answer
    x = 173.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.